A steel beam, of lengths a=5 m and b=2 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thi of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q= kN/m for AB span; and is constant with q=3.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. YA q X 78

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.4P: Segments A B and BCD of beam A BCD are pin connected at x = 4 m. The beam is supported by a sliding...
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Calculate the value of integration constant C2 

Calculate the value of integration constant C4

the value of the deflection at point C 

Perform double integration of the bending moment equations. You will obtain deflections in this form:
VEI= F(x) + C₁x + C3
for 0 ≤ x ≤ a
VEI = G(x) + C₂x + C4
for a ≤ x ≤a+b
Transcribed Image Text:Perform double integration of the bending moment equations. You will obtain deflections in this form: VEI= F(x) + C₁x + C3 for 0 ≤ x ≤ a VEI = G(x) + C₂x + C4 for a ≤ x ≤a+b
A steel beam, of lengths a=5 m and b=2 m and a hollow box cross section, is supported by a hinge support A and roller
support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness
of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q= 3.2
kN/m for AB span; and is constant with q=3.2 kN/m for BC span. The Young's modulus of steel is 200 GPa.
YA
q
Part A
A
a
5 mm
200 mm
Figure Q.1
Дв
300 mm
b
C
X
Transcribed Image Text:A steel beam, of lengths a=5 m and b=2 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q=0 kN/m to q= 3.2 kN/m for AB span; and is constant with q=3.2 kN/m for BC span. The Young's modulus of steel is 200 GPa. YA q Part A A a 5 mm 200 mm Figure Q.1 Дв 300 mm b C X
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